Answer:
12
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x)
f(x) + g(x) = x + 2 + x² - 2 = x² + x
To evaluate (f + g)(- 4) substitute x = - 4 into f(x) + g(x)
(f + g)(- 4) = (- 4)² + (- 4) = 16 - 4 = 12
Answer:
The answer is (2, -1)
Step-by-step explanation:
Plug in x and y into the equation:
y=2x-5
-1=2(2)-1
and then u get -1 = -1 which is true
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Answer:
![d = 10](https://tex.z-dn.net/?f=d%20%3D%2010)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:
![d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point T (-6, -3)
Point K (2, 3)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute [DF]:
![d = \sqrt{(2+6)^2+(3+3)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%282%2B6%29%5E2%2B%283%2B3%29%5E2%7D)
- Add:
![d = \sqrt{(8)^2+(6)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%288%29%5E2%2B%286%29%5E2%7D)
- Exponents:
![d = \sqrt{64+36}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B64%2B36%7D)
- Add:
![d = \sqrt{100}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B100%7D)
- Evaluate:
![d = 10](https://tex.z-dn.net/?f=d%20%3D%2010)